ME2016 Schedule for Fall 2007

1

8/20

Course overview and philosophy

Chapter 1

8/22

Numerical errors: accuracy, precision, round-off errors

Chapter 3

8/24

Floating point representation and computation

Assignment #0:  Tell us something about yourself

Chapter 3

2

8/27

8/29

Matlab Review: control structures and debugging

Chapter 2

8/31

The theme of the assignments: the drive train of a car.
Assignment #1: Errors in Taylor Series and Floating Point Numbers

Lecture Slides

3

9/3

Labor Day -- No Class

9/5

Modeling in Engineering

Chapter 1

9/7

Root Finding: Bisection and False-Position methods
Assignment #2: Modeling a Drivetrain of a Car.

Section 5.1 - 5.3

4

9/10

Root Finding: Newton-Raphson method

Sections 6.1 & 6.2

9/12

Root Finding: Comparison of Root Finding Methods

Chapter 6

9/14

Root Finding: Implementing Bisection in Matlab
Assignment #3: Root-Finding Algorithms

5

9/17

Problem Session

9/19

MID-TERM 1 EXAM

9/21

Linear Equations: Gauss Elimination

Sections 9.1 - 9.4

6

9/24

Linear Equations: Determining the computational complexity

Section 9.2

9/26

Curve Fitting: Least Squares Regression

Sections 17.1 & 17.2

9/28

Curve Fitting: General Linear Least Squares
Assignment #4: Root Finding -- Finding Optimal Shift Velocities

Section 17.4

7

10/1

Curve Fitting: Cross validation & Discussion

Lecture Notes

10/3

Curve Fitting: Problem Session

10/5

Interpolation: Linear and Spline interpolation
Assignment #5: Curve Fitting -- Creating an Engine Model

Section 18.1

8

10/8

Mid-Term Recess -- No Class

10/10

Interpolation: Problems & discussion

10/12

Problem Session

9

10/15

MID-TERM 2 EXAM

10/17

Numerical Integration: Newton-Cotes Formulas

Sections 21.1 - 21.3

10/19

Numerical Integration: Newton Cotes Continued

Sections 21.1 - 21.3

10

10/22

Numerical Integration: implementation in Matlab

10/24

Numerical Integration: Problem Session

10/26

Ordinary Differential Equations: Euler's Method
Assignment #6: Numerical Integration -- Computing the Fuel Consumption

Section 25.1

11

10/29

ODEs: Euler's Method Continued

Sections 25.1 & 25.2

10/31

ODEs: Runge Kutta Methods

Section 25.3

11/2

ODEs: Systems of ODEs

Section 25.4

12

11/5

ODEs: Problems & Discussion

Lecture Slides

11/7

Optimization: Golden Section Search

Section 13.1

11/9

13

11/12

MID-TERM 3 EXAM

11/14

Optimization: Multidimensional Optimization Methods

Sections 14.1 & 14.2

11/16

Optimization: Constrained Optimization Methods
Assignment #7: ODEs -- Simulating a Car

Lecture Notes

14

11/19

Lecture Notes

11/21

11/23

Thanksgiving Holiday -- No Class

15

11/26

Signal Processing: sampling

Lecture Notes

11/28

Signal Processing: filtering example

Lecture Notes

11/30

Signal Processing: Fourier Series and Transform
Assignment #8: Optimization -- Tuning your Drivetrain

Sections 19.1 & 19.2

16

12/3

Review and Problem Session

12/5

Review and Problem Session

12/7

Course Summary

17

Monday
12/10

Section C: FINAL EXAM
from 11:30AM to 2:20PM

Wednesday
12/12

Section D: FINAL EXAM
from 2:50PM to 5:40PM

Friday
12/14

Section A: FINAL EXAM
from 11:30AM to 2:20PM